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Simplifying 8(y + 3) + -4 = 10y + 24 Reorder the terms: 8(3 + y) + -4 = 10y + 24 (3 * 8 + y * 8) + -4 = 10y + 24 (24 + 8y) + -4 = 10y + 24 Reorder the terms: 24 + -4 + 8y = 10y + 24 Combine like terms: 24 + -4 = 20 20 + 8y = 10y + 24 Reorder the terms: 20 + 8y = 24 + 10y Solving 20 + 8y = 24 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 20 + 8y + -10y = 24 + 10y + -10y Combine like terms: 8y + -10y = -2y 20 + -2y = 24 + 10y + -10y Combine like terms: 10y + -10y = 0 20 + -2y = 24 + 0 20 + -2y = 24 Add '-20' to each side of the equation. 20 + -20 + -2y = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -2y = 24 + -20 -2y = 24 + -20 Combine like terms: 24 + -20 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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